A041140 - OEIS

A041140

Numerators of continued fraction convergents to sqrt(79).

8, 9, 71, 80, 1351, 1431, 11368, 12799, 216152, 228951, 1818809, 2047760, 34582969, 36630729, 290998072, 327628801, 5533058888, 5860687689, 46557872711, 52418560400, 885254839111, 937673399511, 7448968635688, 8386642035199, 141635241198872, 150021883234071

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OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,160,0,0,0,-1).

FORMULA

G.f.: -(x^7-8*x^6+9*x^5-71*x^4-80*x^3-71*x^2-9*x-8) / (x^8-160*x^4+1). - Colin Barker, Nov 05 2013

MATHEMATICA

Numerator[Convergents[Sqrt[79], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

LinearRecurrence[{0, 0, 0, 160, 0, 0, 0, -1}, {8, 9, 71, 80, 1351, 1431, 11368, 12799}, 30] (* Harvey P. Dale, Sep 08 2024 *)

CROSSREFS